01106nas a2200133 4500008004100000245005100041210005100092260001400143520072500157100001400882700001700896700002200913856003700935 2021 eng d00aMagic State Distillation from Entangled States0 aMagic State Distillation from Entangled States c6/23/20213 a
Magic can be distributed non-locally in many-body entangled states, such as the low energy states of condensed matter systems. Using the Bravyi-Kitaev magic state distillation protocol, we find that non-local magic is distillable and can improve the distillation outcome. We analyze a few explicit examples and show that spin squeezing can be used to convert non-distillable states into distillable ones.
Our analysis also suggests that the conventional product input states assumed by magic distillation protocols are extremely atypical among general states with distillable magic. It further justifies the need for studying a diverse range of entangled inputs that yield magic states with high probability.